Question : A square game board is divided into smaller squares, each with sides one-ninth the length of the sides of the board. Into how many squares is the game board divided?

Therefore the game board is divided into 81 smaller squares.

Step-by-step explanation:

Given that, there is a square game.

Consider x be length of one side the square.

The volume of the square is = side ×side

                                               =x² square units

Since the length of side of smaller square is one-ninth of the game board.

Then one side length of the smaller square is units.

The area of a smaller square is

Let a number of square is formed from the game board.

a ×The area of one smaller square= The area of game board.

According to the problem,

Therefore the game board is divided into 81 smaller squares.

The decimal number is 0.964

Step-by-step explanation:

we have

step 1

Multiply each fraction by the whole number

step 2

Convert each fraction in a decimal number

Remember

Move the decimal point to the left as many places as there are zeros in the factor.

Move the decimal point one step to the left (10 has one zero).

Move the decimal point two steps to the left (100 has two zeros)

Move the decimal point three steps to the left (1000 has three zeros)

step 3

Adds the number